Textbook 4I7 Help

[SophiaJenny3I]

Hello everyone! So I was going through the textbook problems and got a bit tripped up on 4I7.

In the problem, it has vaporization as having a -deltaH value, while melting is positive deltaH, is this not flipped? Shouldn't melting have a negative deltaH and vaporization have a positive deltaH? Could someone please explain this to me, I think I'm tripping myself up.

[Anirudh Mahadev 1G]

In order to melt a substance, the substance would need to have a positive enthalpy, absorbing heat to break the bonds and go from a solid to a liquid. Melting should be positive, and I would think the vaporization would need to be positive as well by the same principle. However, take another look at what the question is asking for. If its asking for the entropy change of the surroundings, these processes would both be negative because of the loss of heat from the surroundings that is causing the fusion or vaporization.